Writing Equations for Proportional Relationships Based on Table

Discover the power of patterns with this Writing Equations for Proportional Relationships Based on Tables playsheet! In this activity, you’ll learn how to use data from a table to write a proportional equation that connects two quantities. It’s the perfect way to see how numbers work together — clearly, logically, and with purpose.

Each problem begins with a simple data table showing values for x and y. You’ll observe how one value changes when the other does — and find out if the relationship between them is proportional. By calculating the constant of proportionality (k) using the ratio y ÷ x, you’ll uncover the pattern that links both variables. Once you’ve found k, you’ll write your proportional equation in the form y = kx!

As you move through the problems, you’ll start recognizing that proportional equations are everywhere — in recipes, maps, shopping discounts, and speed comparisons. Each table tells a real-world story, and you’ll learn how to read it like a math detective, finding relationships hidden in plain sight.